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Finding the Fourth Proportional to 10,985.60, 16,478.44 and 5,146.32

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Solution

The fourth proportional to 10,985.60, 16,478.44 and 5,146.32 is: 7,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.60 : 16,478.44 = 5,146.32 : x
  2. Step 2: Convert to fraction form
    10,985.60/16,478.44 = 5,146.32/x
  3. Step 3: Cross multiply
    10,985.60x = 16,478.44 × 5,146.32
  4. Step 4: Simplify right side
    10,985.60x = 84,803,325.34
  5. Step 5: Solve for x
    x = 84,803,325.34/10,985.60
  6. Step 6: Final answer
    x = 7,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.